About Universality and Thermodynamics of Turbulence

Geneste, Damien; Faller, Hugues; Nguyen, Florian; Shukla, Vishwanath; Daviaud, Francois; Saw, Ewe-Wei; Dubrulle, Bérengère; Laval, Jean-Philippe

Type de document :

Article dans une revue scientifique: Article original

DOI :

10.3390/e21030326

Titre :

About Universality and Thermodynamics of Turbulence

Auteur(s) :

Geneste, Damien [Auteur]
Faller, Hugues [Auteur]
Nguyen, Florian [Auteur]
Shukla, Vishwanath [Auteur]
Daviaud, Francois [Auteur]
Saw, Ewe-Wei [Auteur]
Dubrulle, Bérengère [Auteur]
Service de physique de l'état condensé [SPEC - UMR3680]
Laval, Jean-Philippe [Auteur]

Laboratoire de Mécanique des Fluides de Lille - Kampé de Fériet [LMFL]

Titre de la revue :

Entropy

Pagination :

326

Éditeur :

MDPI

Date de publication :

2019-03

ISSN :

1099-4300

Mot(s)-clé(s) en anglais :

turbulence
intermittency
multifractal
thermodynamics

Discipline(s) HAL :

Physique [physics]

Résumé en anglais : [en]

This paper investigates the universality of the Eulerian velocity structure functions using velocity fields obtained from the stereoscopic particle image velocimetry (SPIV) technique in experiments and direct numerical ...
Lire la suite >This paper investigates the universality of the Eulerian velocity structure functions using velocity fields obtained from the stereoscopic particle image velocimetry (SPIV) technique in experiments and direct numerical simulations (DNS) of the Navier-Stokes equations. It shows that the numerical and experimental velocity structure functions up to order 9 follow a log-universality (Castaing et al. Phys. D Nonlinear Phenom. 1993); this leads to a collapse on a universal curve, when units including a logarithmic dependence on the Reynolds number are used. This paper then investigates the meaning and consequences of such log-universality, and shows that it is connected with the properties of a "multifractal free energy", based on an analogy between multifractal and thermodynamics. It shows that in such a framework, the existence of a fluctuating dissipation scale is associated with a phase transition describing the relaminarisation of rough velocity fields with different Hölder exponents. Such a phase transition has been already observed using the Lagrangian velocity structure functions, but was so far believed to be out of reach for the Eulerian data.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Projet ANR :

Etude expérimentale des structures dissipatives en turbulence

Collections :